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Finding the Fourth Proportional to 224.23, 309.36 and 125.97

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Solution

The fourth proportional to 224.23, 309.36 and 125.97 is: 173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.23 : 309.36 = 125.97 : x
  2. Step 2: Convert to fraction form
    224.23/309.36 = 125.97/x
  3. Step 3: Cross multiply
    224.23x = 309.36 × 125.97
  4. Step 4: Simplify right side
    224.23x = 38,969.39
  5. Step 5: Solve for x
    x = 38,969.39/224.23
  6. Step 6: Final answer
    x = 173.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.